The US dollar index picked up after Fed chair Janet Yellen noted the strength of the US labour market in a speech.
Meanwhile traders say whole milk powder futures suggest a decline in the price of the commodity in tonight's GlobalDairyTrade auction.
"The NZD and AUD remained under pressure during a mostly quiet session for global markets," said Imre Speizer, senior markets strategist at Westpac Banking Corp, in a note.
"Momentum remains negative, thanks to the post-FOMC surge in the US dollar last week," he said, adding that the next "major multi-day target" for the kiwi dollar is about 68 US cents.
The kiwi traded at 95.5 Australian cents from 95.64 cents late yesterday. The local currency slipped to 4.8182 yuan from 4.8462 yuan and declined to 81.31 yen from 81.96 yen. It traded at 66.66 euro cents from 66.71 cents and was little changed at 55.91 British pence.